Question

What is the angle of elevation of the sun when a 44-ft mast casts a 14 ft shadow?

Answer 1

Step-by-step explanation:

Let the angle of elevation be $\theta$

$\therefore \tan \: \theta = \frac{height \: of \: mast}{height \: of \: shadow} \\ \\ \therefore \tan \: \theta = \frac{44}{14} \\ \\ \therefore \tan \: \theta = 3.14285714 \\ \\ \therefore \: \theta = {\tan}^{ - 1} (3.14285714) \\ \therefore \: \theta = 72.349875765 \degree \\ \\ \huge \red{ \boxed{\therefore \:\theta = 72.35 \degree}}$

Hence, angle of elevation of the sun is 72.35°.